Integral Stiefel-Whitney class: Difference between revisions
m (4 revisions) |
|||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
==Definition== | ==Definition== | ||
The '''integral Stiefel-Whitney class''' for an oriented real vector bundle over a [[differential manifold]], is defined as a sum of characteristic classes in various dimensions, where the characteristic class in dimension <math>i+1</math> is obtained by applying the [[ | The '''integral Stiefel-Whitney class''' for an oriented real vector bundle over a [[differential manifold]], is defined as a sum of characteristic classes in various dimensions, where the characteristic class in dimension <math>i+1</math> is obtained by applying the [[ts:Bockstein homomorphism|Bockstein homomorphism]] to the <math>i^{th}</math> [[Stiefel-Whitney class]]. | ||
Latest revision as of 19:47, 18 May 2008
Definition
The integral Stiefel-Whitney class for an oriented real vector bundle over a differential manifold, is defined as a sum of characteristic classes in various dimensions, where the characteristic class in dimension is obtained by applying the Bockstein homomorphism to the Stiefel-Whitney class.